82143600 has 360 divisors, whose sum is σ = 336549888. Its totient is φ = 16934400.

The previous prime is 82143571. The next prime is 82143613. The reversal of 82143600 is 634128.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 646737 + ... + 646863.

Almost surely, 2^82143600 is an apocalyptic number.

82143600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82143600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168274944).

82143600 is an abundant number, since it is smaller than the sum of its proper divisors (254406288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82143600 is a wasteful number, since it uses less digits than its factorization.

82143600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 82143600 is about 9063.3106533981. The cubic root of 82143600 is about 434.7016053732.

Adding to 82143600 its reverse (634128), we get a palindrome (82777728).

The spelling of 82143600 in words is "eighty-two million, one hundred forty-three thousand, six hundred".